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A simple class of unitary renormalization group transformations that force hamiltonians towards a band-diagonal form produce few-body interactions in which low- and high-energy states are decoupled, which can greatly simplify many-body…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , R. J. Perry

We apply an {\it ab-initio} approach to the nuclear structure of odd-mass nuclei straddling $^{48}Ca$. Starting with the NN interaction, that fits two-body scattering and bound state data we evaluate the nuclear properties of $A = 47$ and…

Nuclear Theory · Physics 2007-05-23 J. P. Vary , A. G. Negoita , S. Stoica

We develop a new formalism to treat nuclear many-body systems using bare nucleon-nucleon interaction. It has become evident that the tensor interaction plays important role in nuclear many-body systems due to the role of the pion in…

Nuclear Theory · Physics 2017-04-28 Takayuki Myo , Hiroshi Toki , Kiyomi Ikeda , Hisashi Horiuchi , Tadahiro Suhara

We introduce the extension of the ab initio no-core shell model with continuum to describe three-body cluster systems. We present results for the ground state of 6He and show improvements with respect to the description obtained within the…

Nuclear Theory · Physics 2016-04-20 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

Ab-initio predictions of nuclei with masses up to A~100 or more is becoming possible thanks to novel advances in computations and in the formalism of many-body physics. Some of the most fundamental issues include how to deal with…

Nuclear Theory · Physics 2014-08-20 C. Barbieri

High-precision predictions of nuclear properties are a central objective of ab initio nuclear structure theory. However, state-of-the-art many-body methods rely on truncated model spaces to render the nuclear many-body problem tractable,…

Nuclear Theory · Physics 2026-04-10 Marco Knöll

Since Mayer and Jensen employed the single-particle shell model to interpret the magic numbers, various microscopic nuclear models have been developed to study the nuclear force and structure. The confguration-interaction shell model…

Nuclear Theory · Physics 2025-07-28 Menglan Liu , Cenxi Yuan

The present paper is comprised of two parts. First, we give a brief survey of the theoretical framework for microscopic nuclear structure calculations starting from a free nucleon-nucleon potential. Then, we present some selected results of…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco

The configuration-interaction shell model is an effective and widely-used approach to the nuclear many-body problem, whose main drawback is the exponential growth of the basis dimension. An useful way to character nuclear shell-model…

Nuclear Theory · Physics 2025-11-06 Calvin W. Johnson , Austin Keller

In this work we analyze the tensor-force component of effective interactions appropriate for nuclear shell-model studies, with particular emphasis on the monopole term of the interactions. Standard nucleon-nucleon ($NN$) interactions such…

Nuclear Theory · Physics 2013-10-29 Naofumi Tsunoda , Takaharu Otsuka , Koshiroh Tsukiyama , Morten Hjorth-Jensen

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of…

Nuclear Theory · Physics 2008-11-26 C. W. Johnson , S. E. Koonin , G. H. Lang , W. E. Ormand

This review presents some of the challenges in constructing models of atomic nuclei starting from theoretical descriptions of the strong interaction between nucleons. The focus is on statistical computing and methods for analyzing the link…

Nuclear Theory · Physics 2019-12-06 Andreas Ekström

The complex scaling method is commonly used to describe decaying states, but its applications are limited because the Hamiltonian operator must contain only relative coordinates. This has hindered the use of complex scaling in models…

Nuclear Theory · Physics 2026-01-22 A. T. Kruppa , N. Michel , Xin-le Shang , Wei Zuo

Large-space no-core shell model calculations have been performed for A=3-6 nuclei, using a starting-energy-independent two-body effective interaction derived by application of the Lee-Suzuki similarity transformation. This transformation…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

The Similarity Renormalization Group reduces the off-shellness by driving the evolved interaction towards a diagonal band. We analyze the infrared limit and the corresponding on-shell interactions and its consequences for light nuclei.…

Nuclear Theory · Physics 2015-06-17 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

The concept of single-nucleon shells constitutes a basic pillar of our understanding of nuclear structure. Effective single-particle energies (ESPEs) introduced by French and Baranger represent the most appropriate tool to relate many-body…

Nuclear Theory · Physics 2015-09-15 T. Duguet , H. Hergert , J. D. Holt , V. Somà

The even-even Ti isotopic chain, from A = 42 to 70, has been studied within the nuclear shell-model framework by employing an effective Hamiltonian which is derived by way of many-body perturbation theory from a chiral potential with two-…

Nuclear Theory · Physics 2021-11-10 L. Coraggio , G. De Gregorio , A. Gargano , N. Itaco , T. Fukui , Y. Z. Ma , F. R. Xu

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field…

Nuclear Theory · Physics 2013-02-08 H. -W. Hammer , A. Nogga , A. Schwenk

We have performed shell-model calculations for the even- and odd-mass N=82 isotones, focusing attention on low-energy states. The single-particle energies and effective two-body interaction have been both determined within the framework of…

Nuclear Theory · Physics 2009-12-17 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo
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